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A003301
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Numerators of coefficients of Green function for cubic lattice.
(Formerly M1907)
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1
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1, 2, 8, 496, 9088, 12032, 12004352, 4139008, 51347456, 378357612544, 4097254359040, 2921482158080, 9353679601664, 4929181267787776, 5689554887507968, 41627810786525052928, 37882178449895849984
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OFFSET
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0,2
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REFERENCES
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G. S. Joyce, The simple cubic lattice Green function, Phil. Trans. Roy. Soc., 273 (1972), 583-610.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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FORMULA
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MAPLE
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Dnminus1 := 1 : print(numer(Dnminus1)) ; Dn := 2/9 : print(numer(Dn)) ; for nplus1 from 2 to 20 do n := nplus1-1 : Dnplus1 := (2*(2*n+1)*(10*n^2+10*n+3)*Dn-4*n^3*Dnminus1)/(9*nplus1*(2*n+1)*(2*n+3)) : print(numer(Dnplus1)) ; Dnminus1 := Dn : Dn := Dnplus1 : od : # R. J. Mathar
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CROSSREFS
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KEYWORD
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nonn,easy,frac
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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